Results 21 to 30 of about 294,494 (242)
Invariant Lagrangian subspaces [PDF]
It is proved that on Hilbert spaces with strong symplectic form, every symplectic operator I + C I +
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Invariant subspaces in the polydisk [PDF]
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Agrawal, O. P. +2 more
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We provide upper bounds on the perturbation of invariant subspaces of normal matrices measured using a metric on the space of vector subspaces of C n $\mathbb{C}^{n}$ in terms of the spectrum of both unperturbed and perturbed matrices as well as the ...
Subhrajit Bhattacharya
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Invariant Subspaces: An Alternative for Introducing Eigenvectors and Eigenvalues
The concepts of eigenvalue and eigenvector are typically approached algorithmically in introductory linear algebra courses. However, a more conceptual orientation involves connecting these notions to the concept of one-dimensional invariant subspace ...
Gisela Camacho, Asuman Oktaç
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Group-invariant Subspace Clustering [PDF]
Proceedings of Allerton ...
Shuchin Aeron, Eric Kernfeld
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Norm closed invariant subspaces in H∞ and L∞ [PDF]
We characterize norm closed subspaces B of L∞(∂D) such that C(∂D)B ⊂ B, and maximal ones in the family of proper closed subspaces B of L∞(∂D) such that A(D)B ⊂ B, where A(D) is the disk algebra.
Suarez, Fernando Daniel, IzuchiI, Keiji
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Proper contractions and invariant subspaces
Let T be a contraction and A the strong limit of {T∗nTn}n≥1. We prove the following theorem: if a hyponormal contraction T does not have a nontrivial invariant subspace, then T is either a proper contraction of class 𝒞00 or a nonstrict proper contraction
C. S. Kubrusly, N. Levan
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Constrained characteristic functions, multivariable interpolation, and invariant subspaces
In this paper, we present a functional model theorem for completely non-coisometric n-tuples of operators in the noncommutative variety V f , φ , I ( H ) $\mathcal{V}_{f,\varphi,\mathcal{I}}(\mathcal{H})$ in terms of constrained characteristic functions.
Jian Hu, Maofa Wang, Wei Wang
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Convergence of Restarted Krylov Subspaces to Invariant Subspaces [PDF]
The authors prove estimates for the angle (strictly spoken: for the containment gap) between a searched invariant subspace of a general \(n\times n\) matrix and the subspace generated by Krylov subspace methods like the Arnoldi algorithm or the biorthogonal Lanczos algorithm.
Christopher Beattie +2 more
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Generalized 𝑆(𝐶,𝐴,𝐵)-Pairs for Uncertain Linear Infinite-Dimensional Systems
We introduce the concept of generalized 𝑆(𝐶,𝐴,𝐵)-pairs which is related to generalized 𝑆(𝐴,𝐵)-invariant subspaces and generalized 𝑆(𝐶,𝐴)-invariant subspaces for infinite-dimensional systems.
Naohisa Otsuka, Haruo Hinata
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